基于统一强度理论的围岩–锚杆(索)弹塑性耦合分析

doi:10.13722/j.cnki.jrme.2023.0097

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Abstract Based on the unified strength theory and non-associated flow rule，a whole-process analytical theory for the coupled deformation of deep circular tunnel surrounding rock and prestressed bolts(cables) system is derived，taking into account the strain softening characteristic of rock mass，the yield reinforced characteristics of bolts(cables) and the support timing. An analytical method for calculating the displacement difference of bolts(cables) is proposed，and the necessity of monitoring the elongation rate of bolts(cables) in high-stress tunnels is demonstrated：The displacement difference generated during the coordinated deformation of the bolts(cables) and the surrounding rock provides support resistance，thus the elongation rate safety margin standard can be used to assess the integrity and effectiveness of the support structure during the process of bolts(cables) action in real time. On the basis of verifying the rationality of the analytical theory through numerical simulation using Abaqus，the ground response curves(GRC) under bolts(cables) support with different prestressed，support timing，and intermediate principal stress coefficient are compared and analyzed. The results show that the bolts(cables) can significantly reduce the convergence of surrounding rock. With prestressed bolts support，the GRC exhibits a stepwise drop，which significantly and timely reduces the support force required for the equilibrium of surrounding rock. As the stress is gradually released，the active and passive bolts(cables) enter the stage of low-speed stress increase after yielding，and the GRC of surrounding rock under support of different prestresses gradually converge. The timing of support affects the starting point of the bolts(cables) function. The earlier the support，the more significant the displacement control effect，but it will also lead to a larger elongation rate of the bolts(cables). The intermediate principal stress coefficient reflects the self-bearing capacity of the surrounding rock，and increasing this value can improve the deformation control performance of the surrounding rock under bolts(cables) support as a whole，and reduce the elongation rate through the coupled function of the surrounding rock-bolts(cables) system. This study provides a theoretical and computational method for the analysis of prestressed bolts(cables) support and support structure safety in tunnel engineering，and can provide reference for convergence analysis of circular tunnels in underground engineering.

Key words： rock mechanics unified strength theory yield reinforced bolts(cables) strain softening surrounding rock-bolts(cables) coupling displacement difference

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	WANG Bo
	YU Wei
	ZI Xin
	DONG Jie
	YAN Jian

Cite this article:

WANG Bo,YU Wei,ZI Xin, et al. Elastoplastic coupling analysis of surrounding rock-anchor bolt(cable) based on unified strength theory[J]. , 2023, 42(11): 2613-2627.

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http://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2023.0097 OR http://rockmech.whrsm.ac.cn/EN/Y2023/V42/I11/2613

[6]	LABIOUSE V. Ground response curves for rock excavations supported by ungrouted tensioned rockbolts[J]. Rock Mechanics and Rock Engineering，1996，29(1)：19-38.
[16]	汪波，喻炜，刘锦超，等. 交通/水工隧道中基于预应力锚固系统的及时主动支护理念及其技术实现[J]. 中国公路学报，2020，33(12)：118-129.(WANG Bo，YU Wei，LIU Jinchao，et al. Timely-active theory and its application in transportation/hydraulic tunnels based on pre-stressed anchorage system[J]. China Journal of Highway and Transport，2020，33(12)：118-129.(in Chinese))
[26]	林健，吴拥政，丁吉，等. 冲击矿压巷道支护锚杆杆体材料优选[J]. 煤炭学报，2016，41(3)：552-556.(LIN Jian，WU Yongzheng，DING Ji，et al. Optimization of bolt rod material used in rock-burst roadway bolting[J]. Journal of China Coal Society，2016，41(3)：552-556.(in Chinese))
[25]	俞茂宏. 岩土类材料的统一强度理论及其应用[J]. 岩土工程学报，1994，16(2)：1-10.(YU Maohong. Unified strength theory for geomaterials and its applications[J]. Chinese Journal of Geotechnical Engineering，1994，16(2)：1-10.(in Chinese))
[7]	BOBET A. Mechanically anchored rockbolts in tunnels in saturated ground[C]// Proceedings of North American Rock Mechanics. Toronto：[s. n.]，2002：797-804.
[22]	陈明祥. 弹塑性力学[M]. 北京：科学出版社，2007：367.(CHEN Mingxiang. Elasticity and plasticity[M]. Beijing：Science Press，2007：367.(in Chinese))
[10]	TAN C H. Difference solution of passive bolts reinforcement around a circular opening in elastoplastic rock mass[J]. International Journal of Rock Mechanics and Mining Sciences，2016，81：28-38.
[20]	王家来，熊巨华. 应变软化土体中柱形扩孔解析[J]. 应用力学学报，1999，(4)：58-62.(WANG Jialai，XIONG Juhua. An analytical solution to cylindrical cavity expansion in softening soil mass[J]. Chinese Journal of Applied Mechanics，1999，(4)：58-62.(in Chinese))
[29]	YU W，WANG B，ZI X，et al. Effect of prestressed anchorage system on mechanical behavior of squeezed soft rock in large-deformation tunnel[J]. Tunnelling and Underground Space Technology Incorporating Trenchless Technology Research，2023，131：104782.
[1]	汪波，郭新新，何川，等. 当前我国高地应力隧道支护技术特点及发展趋势浅析[J]. 现代隧道技术，2018，55(5)：1-10.(WANG Bo，GUO Xinxin，HE Chuan，et al. Analysis on the characteristics and development trends of the support technology of high ground stress tunnels in China[J]. Modern Tunnelling Technology，2018，55(5)：1-10.(in Chinese))
[3]	李玉平，田世雄，胡玉琨，等. 炭质板岩隧道大变形段“围压拱”支护方案[J]. 地下空间与工程学报，2020，16(增1)：137-146.(LI Yuping，TIAN Shixiong，HU Yukun，et al. The bearing structure supporting scheme of the tunnel which passes through the carbonaceous slate large deformation section[J]. Chinese Journal of Underground Space and Engineering，2020，16(Supp.1)：137-146.(in Chinese))
[5]	CARRANZA-TORRES C，FAIRHURST C. Application of the convergence-confinement method of tunnel design to rock masses that satisfy the Hoek-Brown failure criterion[J]. Tunnelling and Underground Space Technology Incorporating Trenchless Technology Research，2000，15(2)：187-213.
[21]	HILL R. The Mathematical theory of plasticity[M]. Oxford：Oxford Science Publications，1950：245.
[8]	INDRARATNA B，KAISER P K. Analytical model for the design of grouted rock bolts[J]. International Journal for Numerical and Analytical Methods in Geomechanics，1990，14(4)：227-251.
[11]	TAN C H，CHENG H. Passive bolts reinforcement around a circular opening in strain-softening elastoplastic rock mass[J]. International Journal of Rock Mechanics and Mining Sciences，2016，88：221-234.
[13]	BOBET A，EINSTEIN H H. Tunnel reinforcement with rockbolts[J]. Tunnelling and underground space technology，2011，26(1)：100-123.
[15]	王凤云，钱德玲. 基于统一强度理论深埋圆形隧道围岩的剪胀分析[J]. 岩土力学，2019，40(5)：1 966-1 976.(WANG Fengyun，QIAN Deling. Dilatancy analysis for a circular tunnel excavated in rock mass based on unified strength theory[J]. Rock and Soil Mechanics，2019，40(5)：1 966-1 976.(in Chinese))
[17]	谭鑫，金宇轩，赵明华. 锚杆与围岩共同作用的围岩特性曲线修正分析[J]. 地下空间与工程学报，2020，16(3)：812-819.(TAN Xin，JIN Yuxuan，ZHAO Minghua. Correction analysis on ground reaction curve considering interaction between bolts and surrounding rock[J]. Chinese Journal of Underground Space and Engineering，2020，16(3)：812-819.(in Chinese))
[18]	MÖLLER S. Tunnel induced settlements and structural forces in linings[Ph. D. Thesis][D]. Stuttgart，Germany：Universität Stuttgart，2006.
[23]	BROWN E T，BRAY J W，LADANYI B，et al. Ground response curves for rock tunnels[J]. Journal of Geotechnical Engineering，ASCE，1983，109(1)：15-39.
[27]	康红普，杨景贺，姜鹏飞. 锚索力学性能测试与分析[J]. 煤炭科学技术，2015，43(6)：29-33.(KANG Hongpu，YANG Jinghe，JIANG Pengfei. Tests and analysis on mechanical properties for cable bolts[J]. Coal Science and Technology，2015，43(6)：29-33.(in Chinese))
[4]	刘江，王军，徐腾辉. 涨壳式预应力中空锚杆在机械化开挖大断面隧道中的施工应用研究[J]. 隧道建设(中英文)，2018，38(增2)：324-329.(LIU Jiang，WANG Jun，XU Tenghui. Research of swelling prestressed bolts using in mechanized excavation of large section tunnel[J]. Tunnel Construction，2018，38(Supp.2)：324-329.(in Chinese))
[14]	LUO J W，ZHANG D L，FANG Q，et al. Analytical study on pretensioned bolt-cable combined support of large cross-section tunnel[J]. Science China：Technological Sciences，2020，63(9)：1 808-1 823.
[24]	YANG X L，XU L Y，LI L，et al. Effects of intermediate principal stress on the displacement around tunnels in visco-elastoplastic rock[J]. Journal of the Southeast Asian Geotechnical Society，2002，33(2)：87-92.
[2]	汪波，王振宇，郭新新，等. 软岩隧道中基于快速预应力锚固支护的变形控制技术[J]. 中国公路学报，2021，34(3)：171-182.(WANG Bo，WANG Zhenyu，GUO Xinxin，et al. Deformation control technology based on fast-prestressed anchor support in soft rock tunnel[J]. China Journal of Highway and Transport，2021，34(3)：171-182.(in Chinese))
[9]	孟强，赵洪波，茹忠亮，等. 锚杆支护圆形隧洞弹塑性解[J]. 工程力学，2015，32(7)：17-25.(MENG Qiang，ZHAO Hongbo，RU Zhongliang，et al. Analytical solution for circular tunnels with rock bolts[J]. Engineering Mechanics，2015，32(7)：17-25.(in Chinese))
[12]	RANJBARNIA M，FAHIMIFAR A，ORESTE P. Practical method for the design of pretensioned fully grouted rockbolts in tunnels[J]. International Journal of Geomechanics，2015，16(1)：04015012.
[19]	李文婷，李树忱，冯现大，等. 基于莫尔-库仑准则的岩石峰后应变软化力学行为研究[J]. 岩石力学与工程学报，2011，30(7)：1 460-1 466.(LI Wenting，LI Shuchen，FENG Xianda，et al. Study on post-peak strain softening mechanical properties of rock based on Mohr-Coulomb criterion[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(7)：1 460-1 466.(in Chinese))
[28]	孙钧，江宇，李宁，等. 滇中引水工程海东隧洞围岩“小变形”试验段前期研究——兼及采用普通预应力锚索的风险与对策[J]. 隧道建设(中英文)，2022，42(8)：1 321-1 330.(SUN Jun，JIANG Yu，LI Ning，et al. Preliminary study on trial section with “small deformation” surrounding rock of Haidong water conveyance tunnel of central Yunnan water diversion project：risks and countermeasures for using ordinary prestressed anchor cables[J]. Tunnel Construction，2022，42(8)：1 321-1 330.(in Chinese))
[30]	汪波，喻炜，訾信，等. 软岩大变形隧道不同支护模式的合理性探讨——以木寨岭公路隧道为例[J]. 隧道建设(中英文)，2023，43(1)：36-47.(WANG Bo，YU Wei，ZI Xin，et al. Railway of various support types of Muzhailing Highway Tunnel in soft rocks with large deformation[J]. Tunnel Construction，2023，43(1)：36-47.(in Chinese))